bowmanrosst8175 bowmanrosst8175
  • 16-02-2019
  • Mathematics
contestada

Tell whether the system has one solution, no solution, or infinitely many solutions. Y = 3x + 4 –12x + 4y = 16

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znk
znk znk
  • 16-02-2019

Answer:

Infinitely many solutions.

Step-by-step explanation:

(1)                   y = 3x + 4

(2)     -12x + 4y = 16     Substitute (1) into (2)

-12x + 4(3x + 4) = 16     Distribute the 4

-12x + 12x  + 16 = 16     Combine like terms

                    16 = 16

There are infinitely many solutions.

In the diagram belo, you can see the orange graph of Equation (1) behind the dashed blue line of equation (2). The two lines coincide with each other.

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